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Title: NTP Procedure Descriptions and Flow Diagrams


1
NTP Procedure Descriptions and Flow Diagrams
  • David L. Mills
  • University of Delaware
  • http//www.eecis.udel.edu/mills
  • mailtomills_at_udel.edu

2
NTP process overview
Server 1
Peer/Poll 1
Selection and Clustering Algorithms
SystemProcess
Clock Discipline Process
Combining Algorithm
Server 2
Peer/Poll 2
Loop Filter
Server 3
Peer/Poll 3
VFO
RemoteServers
Peer/PollProcesses
Clock Adjust Process
  • Peer process runs when a packet is received.
  • Poll process sends packets at intervals
    determined by the clock discipline process and
    remote server.
  • System process runs when a new peer process
    update is received.
  • Clock discipline process runs at intervals
    determined by the measured network jitter and
    clock oscillator (VFO) frequency wander.
  • Clock adjust process runs at intervals of one
    second.

3
NTP peer protocol
  • Packet header includes T1, T2 and T3 timestamps.
  • Peer state variables org, rec and xmt record the
    transmit and receive times of the most recent
    packet received.
  • When a packet is transmitted
  • Copy org to T1 and rec to T2.
  • Copy the current time to xmt and to T3.
  • When a packet received
  • If T3 is the same as xmt, this is a duplicate
    packet.
  • If T1 is not the same as org, this is a bogus
    packet.
  • Otherwise, copy T3 to pkt and copy the current
    time to T4 and rec.
  • Note that the protocol is symmetric and allows
    time values to flow both ways simultaneously and
    is resistant to replays and drops.
  • Note the special conditions when either or both
    peers first start up.

4
NTP peer protocol example
t2
t3
t6
t7
0
t3
t5.
t1
PacketVariables Peer B StateVariables
T1
0
t4
t2
t6
T2
t5.
t1
t3 clock
t7 clock
T3
t2 clock
t6 clock
T4
t5
t5?
org
t1
0
State VariablesName Description
t6
t6
rec
t2
t2
org origin timestamp rec receive
timestampxmt transmit timestamp
t7
t3?
xmt
t3
0
t3
t2
t6
t7
Packet VariablesName Description
t4
t1
t5
t8
t1
t4
t8
t5
tn origin timestamptn1 receive
timestamptn2 transmit timestamptn3 destination
timestamp
t5
t3.
0
t1
PacketVariables Peer A StateVariables
T1
t6
t4
0
t2
T2
t7
t3.
t1 clock
t5 clock
T3
t4 clock
t8 clock
T4
0.
org
t3
t7?
t3?
0
rec
t4
t8
t4
t1
xmt
t5
t5?
t1?
5
Computing time values and error estimates
Packet Variables
Peer Variables
System Variables
S
S
Client
S
Server
  • Packet variables are computed directly from the
    packet header.
  • Peer variables are groomed by the clock filter.
  • System variables are groomed from the available
    peers.

6
Variable, Parameter and Procedure Libraries
  • 1. NTP Packet header format2. Process
    variables3. Parameters4. Procedure cross index

7
Naming conventions
  • The names on the following pages are
    distinguished by the process to which the belong.
    When necessary to disambiguate the name, the
    prefix tags above will prepend he name.
  • r. receive packet
  • x. transmit packet
  • p. peer/poll process
  • s. system process
  • c. local clock process
  • p.f. clock filter
  • s.m chime list
  • s.v. survivor list
  • The variable names and formula names are used
    interchangeably to improve readability and reduce
    flow chart size.

8
NTP packet header format
Name Formula Description leap leap leap
indicator (LI)version version version number
(VN)mode mode modestratum stratum stratumpoll t
poll interval (log2 s)precision r precision
(log2 s)rootdelay D root delayrootdisp E root
dispersionrefid refid reference
IDreftime reftime reference timestamporg T1 orig
in timestamp rec T2 receive timestamp
xmt T3 transmit timestampdst T4 destination t
imestamp
Strat
Poll
LI
Mode
VN
Prec
Root Delay
Root Dispersion
Reference ID
Reference Timestamp (64)
Origin Timestamp (64)
Receive Timestamp (64)
Transmit Timestamp (64)
Packet Variables
MAC (optional 160)
Strictly speaking, dst is not a packet
variable it is the value of the system clock
upon arrival.
Name Formula Description keyid key
ID mac message digest
Message Authentication Code (MAC)
9
Process variables I
Name Formula Description Configuration
Variables srcaddr source address dstaddr destina
tion address version version version hmode hmode h
ost mode keyid keyid key ID flags option
flagsPacket Variablesleap leap leap
indicator pmode pmode packet mode stratum stratum
stratum ppoll t poll interval rootdelay D root
delay rootdisp E root dispersion refid refid refer
ence ID reftime reftime reference
timestamp org T1 origin timestamp rec T2 receive
timestamp xmt T3 transmit timestampWorking
Variables t t update time filter clock
filter offset q clock offset delay d roundtrip
delay disp e dispersion jitter j jitter
Name Formula Description t t update
time offset q clock offset delay d roundtrip
delay disp e dispersion
Clock Filter Variables (p.f.)
Name Formula Description t t update
time leap leap leap indicator stratum stratum stra
tum poll t poll interval precision r precision roo
tdelay D root delay rootdisp E root
dispersion refid refid reference
ID reftime reftime reference time chime chime
list survivor survivor list p p system
peer offset Q combined offset jitter J combined
jitter flags option flags
System Process Variables (s.)
Peer Process Variables (p.)
10
Process variables II
Name Formula Description t t update
time state state current state offset q current
offset base qB base offset last qB previous
offset count count jiggle counter freq freq freque
ncy jitter j RMS jitter wander h RMS wander
Name Formula Description p p association
ID type t edge type edge edge edge offset
Chime List Variables (s.m.)
Name Formula Description p p association
ID metric l survivor metric
Local Clock Process Variables (c.)
Name Formula Description hpoll hpoll host poll
interval burst count burst counter reach reach rea
ch register unreach unreach unreach
counter outdate last poll time nextdate next
poll time
Survivor List Variables (s.v.)
Name Formula Description keyid keyid key
ID mac mac message digest
Message Authentication Code (MAC)
Poll Process Variables (p.)
11
Parameters I
Name Value Description VERSION 4 version
number PRECISION -18 precision (log2
s) MINDISP .01 minimum dispersion
(s) MAXDISP 16 maximum dispersion
(s) MAXDIST 1 distance threshold
(s) MAXSTRAT 16 maximum stratum (infinity
metric) MINPOLL 4 minimum poll interval (16
s) MAXPOLL 17 maximum poll interval (36.4
h) PHI 15e-6 frequency tolerance (15
PPM) NSTAGE 8 clock register stages NMAX 50 maximu
m number of peers NSANE 1 minimum intersection
survivors NMIN 3 minimum cluster
survivorsSGATE 3 spike gate thresholdBDELAY .004
broadcast delay (s)
Peer Process Parameters
M_SACT 1 symmetric activeM_PASV 2 symmetric
passiveM_CLNT 3 clientM_SERV 4 serverM_BCST 5 b
roadcastM_BCLN 6 broadcast client (pseudo mode)
Mode Assignments
12
Parameters II
Name Value Description STEPT 0.128 step threshold
(s) WATCH 900 stepout threshold
(s) PANICT 1000 panic threshold (s) PLL 65536 PLL
loop gain FLL 18 FLL loop gain AVG 4 parameter
averaging constant ALLAN 1500 compromise Allan
intercept (s) LIMIT 30 poll-adjust
threshold MAXFREQ 500e-6 frequency tolerance (500
PPM) PGATE 4 poll-adjust gate
Local Clock Process Parameters
Name Value DescriptionUNREACH 12 unreach counter
threshold BCOUNT 8 packets in a
burst BTIME 2 burst interval (s)
Poll Process Parameters
Name Value DescriptionA_NONE 0 not
authenticated A_OK 1 authentiction
OK A_ERROR 2 authentication errorA.CRYPTO 3 crypt
o_NAK receivedA.NKEY 4 yhntrusted key
Authentication Code Assignments
13
Procedure cross index I
Name Description Related Routines receive receive
packet main, md5, mobilize, packet,
find_assoc,access, fast_xmit packet process
packet receive, clock_filter clock_filter clock
filter packet, poll
Peer Process Routines
Name Description Related Routines main main
program system, mobilize, recv_packet,
receive clock_select clock select clock_filter,
fit, clock_update clock_update clock
update clock_select, clock_combine,
local_clock clock_combine clock
combine clock_update, root_distance root_dist roo
t distance fit, clock_select,
clock_combine fit fit to synchronize clock_selec
t, poll, root_dist
System Process Routines
Name Description Related Routines local_clock clo
ck discipline clock_update, rstclock, step_time,
adjust_time rstclock state transition local_clock
Local Clock Process Routines
Name Description Related Routines clock_adjust cl
ock_adjust kernel, poll
Clock Adjust Process Routines
14
Procedure cross index II
name description related routines poll poll clo
ck_adjust, clock_filtert, peer_xmit,
poll_update poll_update poll update packet,
poll peer_xmit peer transmit poll,
md5 fast_xmit fast transmit receive, md5
Poll Process Routines
Name Description Related Routines md5 message
digest receive, peer_xmit, fast_xmit find_assoc
find association receive mobilize mobilize
association main, receive clear clear
association receive, clock_update, poll,
peer_xmit access access mask receive
Utility Routines
name description related routines recv_packet rec
eive packet mainxmit_packet send
packet peer_xmit, fast_xmit get_time get
time main, peer_xmit, fast_xmit step_time step
time local_clock adjust_time adjust
time local_clock
Kernel Interface Routines
15
Packet sanity tests (reference implementation
only)
16
Flow Diagrams
  • 1. Main Program2. Peer Process3. System
    Process4. Clock Discipline Process5. Clock
    Adjust Process6. Poll Process

17
Control flow
  • The main program waits for a packet arrival, then
    control flows by each of the procedures connected
    by solid arrows.
  • A client request requires no persistent
    association the server response is handled
    directly by fast_xmit.
  • The packet procedure calls poll_update since it
    updates the packet poll variable.
  • The main program waits for one second, then calls
    clock_adjust.
  • At the poll timeout, control flows by each of the
    procedures connected by solid arrows.
  • The peer_xmit procedure calls clock_filter when
    the server has not been heard for three poll
    intervals. It calls clear on timeout for
    ephemeral associaitons.
  • The dotted arrows show which procdures are called
    by each procedure with control returning to the
    calling procedure.

18
Procedure flow
find_assoc()
access()
recv_packet()
get_time()
main
main
md5()
wait for pkt
1-s timer
fast_xmit()
receive()
clock_adjust()
clear()
packet()
poll timeout?
no
mobilize()
yes
clock_filter()
poll()
fit()
clock_select()
peer_xmit()
root_dist ()
clock_update()
poll_update()
xmit_packet()
clock_combine()
rstclock()
local_clock()
adjust_timet()
step_time()
19
Main program
mobilize()
allocate association memory
main
initialize
clear()
mobilize() persistent associations
exit
clear()
wait for pkt
persistent?
T4 get_time()
yes
no
initialize association variables
receive()
demobilize association
start timer
exit
20
Peer process
  • receive procedure
  • Verify integrity, authenticity and consistency of
    packet data.
  • Match packet to persistent association (client)
    or reply directly (server).
  • packet procedure
  • Compute clock offset, roundtrip delay and
    dispersion.
  • Copy packet header data to peer state variables
  • clock_filter procedure
  • Select the best from among the past eight
    samples.
  • Calculate filter dispersion, jitter and related
    values.
  • Implement popcorn spike suppressor.

21
Peer process receive() procedure I
receive
FXMIT
ERROR
access OK?
no
access deny
fast_xmit()
clear()
yes
format OK?
no
format error
exit
exit
yes
Packet Mode
auth md5()
Mode ACTIVE PASSIVE CLIENT SERVER BCAST
NO_PEER NEWPS FXMIT NEWBC
ACTIVE PROC PROC
PASSIVE PROC ERROR
CLIENT PROC
SERVER
BCAST
BCLIENT PROC
find_assoc()
go to(hmode, pmode) in transition matrix
Association Mode
The default (empty box) behavior is to discard
the packet.
22
Peer process receive() procedure II
PROC
NEWBC
T3 0?
yes
invalid
auth M_OK
no
yes
no
yes
T3 xmt?
duplicate pkt
mobilize() M_BCLN association
no
mode M_BCST
T1 0?
no
yes
no
yes
exit
T1 xmt?
yes
no
auth A_CRYPTO?
yes
orgT3recT4
NEWPS
clear()
no
auth A_OK?
no
exit
auth M_OK?
auth error
yes
orgT3recT4
no
yes
mobilize() M_PASV association
exit
packet()
PROC
exit
23
Peer process packet() procedure
Peer PacketVariables Variablesleap ?
leapmode ? modestratum ? stratumpoll ?
ppoll D ? DE ? Erefid ? refidreftime ?
reftime
packet
header?
bad
header error
ok
copy header
poll_update()
Copy Header
reach 1
Variable Process DescriptionT1 packet origin
timestampT2 packet receive timestampT3 packet tr
ansmit timestampT4 packet destination
timestampq peer offsetd peer delaye poll disper
sionr.r packet peer poll intervalp.r peer host
poll intervalreach poll reach registerPHI parame
ter frequency tolerance
clock_filter (q, d, e, T4)
exit
packet() Procedure
24
peer process clock_filter() procedure
clock_filter (x, y, z, w
Shift sample (x, y, z, w) in clock filter adjust
dispersion e for old samples
Variable Process Descriptionq peer clock
offsetd peer roundtrip delaye peer filter
dispersionj peer filter jittert peer last
update timen peer number of filter samples(x,
y, z, w) from packet procedure
tmp temporaryburst poll burst counter t local
clock poll interval
Create (xi, yi, zi, wi) from each sample in clock
filter save in temporary array sort array by
increasing delay y
tmp q
clock_filter() Procedure
popcorn spike?
yes
no
no
t0 gt t
yes
t t0
yes
burst 0?
clock select()
no
exit
25
System process
  • clock_select procedure
  • select algorithm classify available servers as
    truechimers or falsetickers.
  • cluster algorithm find and discard outlyers
    until no more than three survivors remain.
  • clock_update procedure
  • call clock_combine procedure to combine weighted
    server offsets.
  • Call local_clock procedure to discipline the
    system clock.
  • Update system variables
  • rootdist function
  • Return synchronization distance to the primary
    reference source.
  • fit function
  • Return TRUE if selected server is acceptable and
    root distance less than 1s

26
System process clock_select() procedure
clock_select()
scan candidates
fit()?
no
yes
add peer
selectalgorithm
Name Process Descriptions.p system system
peervi system survivor list sample
survivors?
no
clock_select() Procedure
yes
cluster algorithm
survivors?
no
yes
s.p NULL
s.p v0.p
exit
clock update()
exit
27
System process intersection algorithm
For each of m associations construct a
correctness intervalq rootdist(), q
rootdist()
Select the lowpoint, midpoint and highpoint of
these intervals. Sort these values in a list from
lowest to highest. Set the number of falsetickers
f 0.
Set the number of midpoints d 0. Set c 0.
Scan from lowest endpoint to highest. Add one to
c for every lowpoint, subtract one for every
highpoint, add one to d for every midpoint. If c
m - f, stop set l current lowpoint
Set c 0. Scan from highest endpoint to lowest.
Add one to c for every highpoint, subtract one
for every lowpoint, add one to d for every
midpoint. If c m - f, stop set u current
highpoint.
If d f and l lt u?
no
yes
Add one to f. Is f lt m / 2?
Success the intersection interval is l, u.
yes
no
Failure a majority clique could not be found..
28
system process cluster algorithm
Let (q, j, L) represent a candidate peer with
offset q, jitter j and a weight factor L
stratum MAXDIST rootdist().
Sort the candidates by increasing L. Let n be the
number of candidates and NMIN the minimum number
of survivors.
For each candidate compute the selection jitter
jS (RMS peer offset differences between this and
all other candidates).
Select jmax as the candidate with maximum jS.
Select jmin as the candidate with minimum j.
yes
jmax lt jmin or n NMIN
no
Delete the outlyer candidate with jmax reduce n
by one.
Done. The remaining cluster survivors are the
pick of the litter. The survivors are in the v.
structure sorted by L.
29
System process clock_update() procedure
clock_update()
no
yes
local_clock()
IGNOR
ADJ
PANIC
STEP
panic exit
clear all associations
update system variables
stratum MAXSTRATpoll MINPOLL
exit
System PeerVariables Variablesleap ?
leapstratum ? stratumrefid ? refidreftime ?
reftimeD ? D dE ? E e PHI m j q
Name Process Descriptionp.t peer times.t system
offsets.stratum system stratums.poll system pol
l intervalMAXSTRAT parameter max
stratumMINPOLL parameter min poll interval
clock_update Procedure
Update System Variables
30
system process clock_combine() procedure
clock_combine()
y z w 0
scancluster survivors
x rootdist()
Variable Process DescriptionQ system combined
clock offsetJ system combined jitterq0 survivor
list first survivor offsetqi survivor list ith
survivor offsetx, y, z, w temporaries
done
exit
combine() Procedure
31
System process fit() and root_dist() functions
fit()
reach 0?leap 11?stratum gt15?
any yes
server not synchronized
root_dist()
exit((D d) / 2 E e PHI m j)
all no
rootdist() gt MAXDIST?
yes
root distance exceeded
no
yes
refid addr?
server/client sync loop
no
exit (NO)
exit (YES)
Variable Process DescriptionD peer root
delayd peer delayE peer root dispersione peer d
ispersionm peer time since last
updatej peer jitterPHI parameter frequency
tolerance
Variable Process Descriptionleap peer leap
indicatorstratum peer stratumrefid peer referenc
e IDaddr system hashed local IP
addrreach poll reach shift register
fit() function
rootdist() Function
32
Clock discipline process
  • local_clock() function
  • Discipline system clock using adaptiver-parameter,
    phase/frequency-lock loop.
  • rstclock procedure
  • Transition to new state and initialize variables.
  • adjust_freq segment
  • Adjust oscillator frequency using PLL/FLL
    feedback loop.
  • step_freq segment
  • Step oscillator frequency when first starting and
    no previous information.
  • tc segment
  • Adjust time constant as a function of prevailing
    jitter and oscillator stability.

33
Clock discipline process local clock() function I
local_ clock()
yes
Q gt PANICT?
exit (panic)
no
SPIK
NSET
yes
no
SYNC
Q gt STEPT?
FREQ
FSET
SYNC
FREQ
SPIK
NSET
FSET
state SPIK
m gt WATCH
QR Q
QR Q
no
yes
m gt WATCH
adjust_freq
state FREQ
no
yes
step_freq
exit (IGNOR)
tc
Variable Process DescriptionQ local
clock offsetQR local clock residual
offsetj local clock jitterm local clock time
since last updatestate local clock statecount lo
cal clock counterSTEPT parameter step threshold
(.125 s)WATCH parameter stepout thresh. (900
s)PANICT parameter panic thresh. (1000 s)
step_time (Q)
QR 0
state NSET?
no
yes
exit (STEP)
tc
local_clock() Function
34
Clock discipline process state transition matrix
State Q lt STEP Q gt STEP Comments
NSET gtFREQ adjust time gtFREQ step time no frequency file
FSET gtSYNC adjust time gtSYNC step time frequency file
SPIK gtSYNC adjust freq adjust time if (lt 900 s) gtSPIK else SYNC step freq step time outlyer detected
FREQ if (lt 900 s) gtFREQ else gtSYNC step freq adjust time if (lt 900 s) gtFREQ else gtSYNC step freq step time Initial frequency
SYNC gtSYNC adjust freq adjust time If (lt 900 s) gtSPIK else gtSYNC step freq step time normal operation
35
Clock discipline process local_clock() function
II
adjust freq
step freq
tc
calculate new freq adjustment f from Q and m
using hybrid PLL and FLL
calculate new freq adjustment
state SYNC
yes
Q lt PGATE j
no
count t
count - 2t
freq f
count gt LIMIT
count lt -LIMIT
yes
yes
no
no
count LIMIT
count -LIMIT
t lt MAXPOLL
t gt MINPOLL
tc
no
no
yes
yes
t
t--
Variable Process DescriptionQ local
clock offsetQR local clock residual
offsetj local clock jitterm local clock time
since last updatef local clock frequency
adjustmenth local clock frequency wandert
local clock poll intervalfreq local
clock frequencycount local clock counterMAXPOLL
parameter max poll intervalMINPOLL parameter min
poll intervalLIMIT parameter hysteresis limit
AVG parameter averaging constant
exit (ADJ)
local_clock() Procedure
36
Clock adjust process clock_adjust() procedure
  • clock_adjust() procedure
  • Called by kernel timer routines once each second.
  • Adjusts system clock frequency as computed by
    PLL/FLL.
  • system process computes initial system clock
    offset.
  • Reduce residual clock offset as exponential
    decay.
  • This procedure can also be implemented in the
    kernel for reduced sawtooth error.

37
Clock adjust process clock_adjust() procedure
clock_adjust()
Name Process Descriptiont local clock poll
intervalQR local clock current
offsetE system root dispersionfreq local
clock frequencytmp local temporaryPHI parameter
tolerance (15 PPM)PLL parameter PLL loop gain
E PHI
QR - tmp
adjust_time (freq tmp)
clock_adjust() Procedure
exit
38
Poll process
  • poll() procedure
  • Determine when to transmit a packet according to
    poll and burst schedules.
  • peer_xmit() and fast_xmit() procedures
  • Format and transmit an NTP packet.
  • poll update() procedure
  • Mitigate the poll interval as a function of the
    host and peer poll intervals and defined lower
    and upper limits.

39
Poll process poll() procedure variables
Name Process Description hpoll poll host poll
intervalhmode poll host mode count poll burst
counter reach poll reach register unreach poll unr
each counter t local clock current time t local
clock poll intervalp system system
peerM_BCST parameter broadcast
serverM-BCLN parameter broadcast
clientB_BURST peer flag burst enableB_IBURST pee
r flag initial burst enableB_COUNT parameter pkts
in a burst
poll() Procedure
40
Poll process poll() procedure
poll()
hmode M_BCST?
yes
yes
no
burst 0?
reach ltlt 1
s.p NULL?
yes
no
yes
no
reach 0?
burst--
unreach gt UNREACH
unreach 0
no
yes
no
yes
hmode M_BCLN?
reach 0x7 0?
hpoll
yes
yes
no
clock_filter (0, 0, 8, t)
peer_xmit()
B_IBURST?
yes
no
fit()?
poll_update()
hpoll c.t
no
yes
exit
B_BURST?
no
burst BCOUNT
yes
unreach 0?
no
yes
unreach
burst BCOUNT
41
Poll process peer_xmit() and fast_xmit()
procedures
Packet Desig.Variable Variableleap ?
s.leapversion ? p.versionmode ?
p.hmodestratum ? s.stratumpoll ? p.hpollr ?
s.rD ? s.D E ? s.E refid ?
s.refidreftime ? s.reftimeT1 ? p.org T2 ?
p.rec T3 ? clockkeyid ? p.keyidmac ? md5
Packet Desig.Packet Variable leap ?
s.leapversion ? r.versionmode ?
M_SERVstratum ? s.stratumpoll ? r.pollr ?
s.rD ? s.D E ? s.E refid ?
s.refidreftime ? s.reftimeT1 ? r.T3 T2 ?
r.T4T3 ? clockkeyid ? r.keyidmac ? md5
peer_xmit()fast_xmit()
copy header
T1, T2
T3 clock
mac md5()
xmit_packet()
exit
peer_xmit() Procedure
fast_xmit() Procedure
42
Poll process poll_update() procedure
poll_update()
burst 0?
yes
no
hpoll max(min(MAXPOLL, poll), MINPOLL))
timer running?
no
yes
timer BTIME
timer (max(min(ppoll, hpoll), MINPOLL))
exit
Variable Process Descriptionppoll peer peer poll
intervalhpoll poll host poll intervalburst poll
burst countertimer kernel system
timerBTIME parameter burst time
MINPOLL parameter minimum poll
intervalMAXPOLL parameter maximum poll interval
poll_update() Procedure
n
43
Further information
  • Network Time Protocol (NTP) http//www.ntp.org/
  • Current NTP Version 3 and 4 software and
    documentation
  • FAQ and links to other sources and interesting
    places
  • David L. Mills http//www.eecis.udel.edu/mills
  • Papers, reports and memoranda in PostScript and
    PDF formats
  • Briefings in HTML, PostScript, PowerPoint and PDF
    formats
  • Collaboration resources hardware, software and
    documentation
  • Songs, photo galleries and after-dinner speech
    scripts
  • FTP server ftp.udel.edu (pub/ntp directory)
  • Current NTP Version 3 and 4 software and
    documentation repository
  • Collaboration resources repository
  • Related project descriptions and briefings
  • See Current Research Project Descriptions and
    Briefings at http//www.eecis.udel.edu/mills/sta
    tus.htm
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